Answer. 3(7-x). Good luck with this.
Answer:
y = 18
Step-by-step explanation:
–3(y-2) +29 = -19
Distribute
-3y +6 +29 = -19
Combine like terms
-3y + 35 =-19
Subtract 35 from each side
-3y +35-35 = -19-35
-3y = -54
Divide each side by -3
-3y/-3 = -54/-3
y = 18
Answer:
Unique solution
Step-by-step explanation:
Given
![3x+4y+2=0](https://tex.z-dn.net/?f=3x%2B4y%2B2%3D0)
![4x-5y+13=0](https://tex.z-dn.net/?f=4x-5y%2B13%3D0)
Required
The type of solution
A linear equation is represented as:
![Ax + Bx + C =0](https://tex.z-dn.net/?f=Ax%20%2B%20Bx%20%2B%20C%20%3D0)
For the first equation:
![A_1 = 3\ B_1 = 4\ C_1 = 2](https://tex.z-dn.net/?f=A_1%20%3D%203%5C%20B_1%20%3D%204%5C%20C_1%20%3D%202)
For the second:
![A_2 = 4\ B_2 = -5\ C_2 = 13](https://tex.z-dn.net/?f=A_2%20%3D%204%5C%20B_2%20%3D%20-5%5C%20C_2%20%3D%2013)
We have:
![\frac{A_1}{A_2} = \frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7BA_1%7D%7BA_2%7D%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
![\frac{B_1}{B_2} = -\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7BB_1%7D%7BB_2%7D%20%3D%20-%5Cfrac%7B4%7D%7B5%7D)
By comparison:
![\frac{A_1}{A_2} \ne \frac{B_1}{B_2}](https://tex.z-dn.net/?f=%5Cfrac%7BA_1%7D%7BA_2%7D%20%5Cne%20%5Cfrac%7BB_1%7D%7BB_2%7D)
<em>Hence, the system has a unique solution.</em>
Find the sum of -3a and 5a -3
-3a + (5a-3)
2a-3